Which equation has the least steep graph?A.y = -6x + 1B.y = 2x - 7C.y = -x - 3D.y = x + 9SUBMITarrow_backPREVIOUS
Question
Which equation has the least steep graph?A.y = -6x + 1B.y = 2x - 7C.y = -x - 3D.y = x + 9SUBMITarrow_backPREVIOUS
Solution
The steepness of a graph is determined by the absolute value of the slope in its equation. The slope is the coefficient of x in the equation.
Here are the slopes for each equation:
A. y = -6x + 1, slope = -6 B. y = 2x - 7, slope = 2 C. y = -x - 3, slope = -1 D. y = x + 9, slope = 1
The least steep graph would be the one with the smallest absolute value of the slope.
Comparing the absolute values of the slopes: |-6| = 6, |2| = 2, |-1| = 1, |1| = 1.
So, the equations with the least steep graphs are C. y = -x - 3 and D. y = x + 9, because they both have the smallest absolute slope value of 1.
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